Arsene Wenger has agreed to up his offer for Luis Suarez to £40 million, according to the Sun, but Brendan Rodgers insists the Uruguay international is worth £55m.

Arsenal have already seen a £30m bid for Suarez rejected by Liverpool, and were reportedly lining up an improved £35m offer.

It is believed that the Reds are holding out for £40m due to a clause in the forward's contract, although there is a reported disagreement between the club and the player's agent, Pere Guardiola, as to the specifics behind the clause.

However, with talk suggesting Wenger is now prepared to meet that valuation, Rodgers has claimed the Gunners would have to improve their offer once again.

"When you consider Edinson Cavani has gone for £55m [to Paris Saint-Germain], Luis is up there in that bracket of top talent. Arsenal's was an offer we didn't deem worthy of the talent," he said.

"There's no guarantee Luis would be sold even for that because we are trying to build something - we don't have to sell. We're prepared to spend and get people in without having to sell him.

"The reality is we have had one offer. So there can be as much speculation as you like, there's been nothing beyond that."

Rodgers, speaking from Indonesia during Liverpool's tour of Australia and the Far East, added: "Liverpool are one of the giants of the world. There is massive competition and we don't want to be selling players - we want to keep our best ones here."

Arsenal are also chasing Wayne Rooney and Gonzalo Higuain as Wenger looks to bolster his frontline, with a reported £70m transfer budget to delve into.